| Morton FC v Arbroath FC 22/12/1962 | View match | |
| Stirling Albion FC v Morton FC 29/12/1962 | View match | |
| Hamilton Academicals v Morton FC 19/01/1963 | View match | |
| Morton FC v Dumbarton 02/02/1963 | View match | |
| Morton FC v Stranraer 09/03/1963 | View match | |
| Morton FC v Montrose FC 13/03/1963 | View match | |
| Albion Rovers FC v Morton FC 16/03/1963 | View match | |
| Morton FC v Brechin City FC 23/03/1963 | View match | |
| Morton FC v Alloa Athletic FC 27/03/1963 | View match | |
| Berwick Rangers FC v Morton FC 30/03/1963 | View match | |
| Morton FC v Ayr United FC 03/04/1963 | View match | |
| Morton FC v East Fife FC 10/04/1963 | View match |